Apply the product rule to .

Raise to the power of .

Apply the power rule and multiply exponents, .

Multiply by .

Apply the product rule to .

Apply the product rule to .

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Raise to the power of .

Multiply by .

Apply the power rule and multiply exponents, .

Multiply by .

Simplify (4x^4)^3(2xy^3)^2